document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063495>Question 1063495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circular pool measures 16 feet across. One cubic yard of concrete is to be used to create a circular border with uniform width around the pool. The border is to have a depth of 4 inches, how wide will the border be? (1 cubic yard=27 cubic&#8203; feet) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678602 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=678602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A circular pool measures 16 feet across. One cubic yard of concrete is to be used to create a circular border with uniform width around the pool.<BR>\n" );
document.write( " The border is to have a depth of 4 inches, how wide will the border be? <BR>\n" );
document.write( "(1 cubic yard=27 cubic&#8203; feet)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let w = the width of the border<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the area of the pool (r = 8)<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A8%5E2 ALIGN=MIDDLE  ALT=\"pi%2A8%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = 201.062 sq/ft<BR>\n" );
document.write( "Find the overall area. r = (w+8) <BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%28w%2B8%29%5E2 ALIGN=MIDDLE  ALT=\"pi%2A%28w%2B8%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%28w%5E2+%2B+16w+%2B+64%29 ALIGN=MIDDLE  ALT=\"pi%28w%5E2+%2B+16w+%2B+64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Overall area - pool area = border area<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%28w%5E2%2B16w%2B64%29+-+201.62 ALIGN=MIDDLE  ALT=\"pi%28w%5E2%2B16w%2B64%29+-+201.62\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The volume of the border area = 27 cu/ft<BR>\n" );
document.write( "4\" = 1/3 ft<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%28pi%28w%5E2%2B16w%2B64%29%29+-+201.62%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29%28pi%28w%5E2%2B16w%2B64%29%29+-+201.62%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 27<BR>\n" );
document.write( "multiply both sides by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%28w%5E2%2B16w%2B64%29+-+201.62+=+81 ALIGN=MIDDLE  ALT=\"pi%28w%5E2%2B16w%2B64%29+-+201.62+=+81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%28w%5E2%2B16w%2B64%29+=+81+%2B+201.62 ALIGN=MIDDLE  ALT=\"pi%28w%5E2%2B16w%2B64%29+=+81+%2B+201.62\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%28w%5E2%2B16w%2B64%29+=+282.62 ALIGN=MIDDLE  ALT=\"pi%28w%5E2%2B16w%2B64%29+=+282.62\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by pi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2+%2B+16w+%2B+64+=+89.78 ALIGN=MIDDLE  ALT=\"w%5E2+%2B+16w+%2B+64+=+89.78\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2+%2B+16w+%2B+64+-+89.78+=+0 ALIGN=MIDDLE  ALT=\"w%5E2+%2B+16w+%2B+64+-+89.78+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2+%2B+16w+-+25.78+=+0 ALIGN=MIDDLE  ALT=\"w%5E2+%2B+16w+-+25.78+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "using the quadratic formula, I got a positive of<BR>\n" );
document.write( "w = 1.475 ft is the width of the border<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "we can check this (pool volume is 4\" thick also)<BR>\n" );
document.write( "overall vol - pool volume = 27 cu/ft<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2A9.175%5E2%29%2F3 ALIGN=MIDDLE  ALT=\"%28pi%2A9.175%5E2%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=201.62%2F3 ALIGN=MIDDLE  ALT=\"201.62%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "94.0128 - 67.021 = 26.99 ~ 27 cu/ft which is 1 cubic yd<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );